Scientific writings by Takashi Hara

I here list my scientific writings (including my "youthful sins"). Rough classifications of the papers are as follows:

By subjects:

• Classical Spin Systems: 6, 7, 26
• Self-Avoiding Walks: 15, 16, 17, 19, 20, 27, 28
• Percolation: 11, 12, 13, 20, 22, 24, 25, 27, 28
• Lattice Trees and Animals: 14, 18, 27, 28
• Gravitational collapse: 21, 23
• Foundations of Statistical Mechanics: 29, 30

By methods mainly used:

• Renormalization group: 6, 7, 9, 21, 23, 26
• Correlation inequalities: 1, 2, 3, 4, 8, (26)
• Lace expansion: 11-20, 22, 24, 25, 27, 28

Original research papers:

30. Sheldon Goldstein, Takashi Hara, and Hal Tasaki.
    Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace.
    New Journal of Physics 17 (2015) 045002.
    ABSTRACT, and
29. Sheldon Goldstein, Takashi Hara, and Hal Tasaki.
    Time Scales in the Approach to Equilibrium of Macroscopic Quantum Systems.
    Phys. Rev. Lett. 111 (2013) 140401.
    ABSTRACT, and
28. Takashi Hara.
    Decay of Correlations in Nearest-Neighbour Self-Avoiding Walk, Percolation, Lattice Trees and Animals.
    Ann. Prob. 36 (2008) 530--593.
    ABSTRACT, and PDF file (640 KB) of the final version published in Annals of Probability.
    (Older versions in In Los Alamos as /math-ph/0504021)
27. Takashi Hara, Remco van der Hofstad, and Gordon Slade.
    Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models.
    Ann. Prob. 31 (2003) 349--408.
    ABSTRACT, and PDF file (520 KB) of the final version published in Annals of Probability.
    (Older versions in Los Alamos as /math-ph/0011046, in Texas mp_arc, paper# 00-468.)
26. Takashi Hara, Tetsuya Hattori, and Hiroshi Watanabe.
    Triviality of hierarchical Ising model in four dimensions.
    Commmun. Math. Phys. 220 (2001) 13--40.
    ABSTRACT , and PDF file (204 KB). The original publication is available on LINK (Springer's internet service, http://link.springer.de) . (In Texas mp_arc, paper# 00-397.)
25. Takashi Hara and Gordon Slade.
    The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion.
    J. Math. Phys. 41 (2000) 1244--1293.
    ABSTRACT , and PDF file (648 KB) (In Los Alamos as /math-ph/9903043.)
24. Takashi Hara and Gordon Slade.
    The scaling limit of the incipient infinite cluster in high-dimensional percolation. I. Critical exponents.
    J. Statist. Phys. 99 (2000) 1075--1168.
    ABSTRACT , and PDF file (744 KB) (In Los Alamos as /math-ph/9903042.)
23. Tatsuhiko Koike, Takashi Hara and Satoshi Adachi
    Critical behavior in gravitational collapse of a perfect fluid.
    Phys. Rev. D59 (1999) 104008.
    ABSTRACT
22. Takashi Hara and Gordon Slade.
    The incipient infinite cluster in high-dimensional percolation.
    Elec. Research Announcements of AMS, 4 (1998) 48--55.
    ABSTRACT , and (In Los Alamos as /math-ph/9805023.)
21. Tatsuhiko Koike, Takashi Hara and Satoshi Adachi.
    Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) approach.
    Phys. Rev. Lett. 74 (1995) 5170--5173.
    ABSTRACT , and (In Los Alamos as gr-qc/9503007.)
20. Takashi Hara and Gordon Slade.
    The self-avoiding-walk and percolation critical points in high dimensions.
    Combinatorics, Probability and Computing, 4 (1995), 197--215.
    ABSTRACT
19. Takashi Hara, Gordon Slade and Alan D. Sokal.
    New lower bounds on the self-avoiding-walk connective constant.
    J. Statist. Phys. 72 (1993) 479--517.
    ABSTRACT
18. Takashi Hara and Gordon Slade.
    The number and size of branched polymers in high dimensions.
    J. Statist. Phys. 67 (1992) 1009--1038.
    ABSTRACT
17. Takashi Hara and Gordon Slade.
    The lace expansion for self-avoiding walk in five or more dimensions.
    ABSTRACT
    Rev. Math. Phys. 4 (1992) 235--327.
16. Takashi Hara and Gordon Slade.
    Self-avoiding walk in five or more dimensions. I. The critical behaviour.
    Commun. Math. Phys. 147 (1992) 101--136.
    ABSTRACT
15. Takashi Hara and Gordon Slade.
    Critical behaviour of self-avoiding walk in five or more dimensions.
    Bull. AMS. 25 (1991) 417--423.
    ABSTRACT
14. Takashi Hara and Gordon Slade.
    On the upper critical dimension of lattice trees and lattice animals.
    J. Statist. Phys. 59 (1990) 1469--1510.
    ABSTRACT
13. Takashi Hara.
    Mean-field critical behaviour for correlation length for percolation in high dimensions.
    ABSTRACT
    Prob. Th. Rel. Fields. 86 (1990) 337--385.
12. Takashi Hara and Gordon Slade.
    Mean-field critical behaviour for percolation in high dimensions.
    Commun. Math. Phys. 128 (1990) 333--391.
    ABSTRACT
11. Takashi Hara and Gordon Slade.
    The triangle condition for percolation.
    Bull. AMS. 21 (1989) 269--273.
    ABSTRACT
10. Hal Tasaki and Takashi Hara.
    Critical behaviour in a system of branched polymers.
    Prog. Theor. Phys. Suppl. 92 (1987) 14--25.
9. Takashi Hara and Hal Tasaki.
   Rigorous renormalization group analysis of φ⁴ field theory.
   Prog. Theor. Phys. Suppl. 92 (1987) 26--45.
8. Kei-ichi Kondo and Takashi Hara.
   Critical exponent of susceptibility in d > 4 dimensions. for a class of general ferromagnets
   J. Stat. Phys. 28 (1987) 1206--1208.
7. Takashi Hara and Hal Tasaki.
   A rigorous control of logarithmic correction in four dimensional φ⁴ spin systems. II. critical behavior of susceptibility and correlation length.
   J. Stat. Phys. 47 (1987) 99-121.
   ABSTRACT
6. Takashi Hara.
   A rigorous control of logarithmic corrections in four dimensional φ⁴ spin systems. I. Trajectory of effective Hamiltonians.
   J. Stat. Phys. 47 (1987) 57-98.
   ABSTRACT
5. Hal Tasaki and Takashi Hara.
   Collapse of random surfaces in connected plaquette model.
   Phys. Lett. 112A (1985) 115--118.
   ABSTRACT
4. Takashi Hara.
   Construction of a nontrivial field theory in 3 dimensions starting from a Lagrangian of φ⁶-type.
   Prog. Theor. Phys. 76 (1986) 318--320.
3. Takashi Hara, Tetsuya Hattori and Hal Tasaki
   Skeleton inequalities and mean field properties for lattice spin systems.
   J. Statist. Phys. 26 (1985) 2922--2929.
2. Hal Tasaki and Takashi Hara.
   Mean field bound and GHS inequality.
   J. Statist. Phys.35 (1984), 99--107.
1. Takashi Hara and Hal Tasaki.
   Fisher's inequality revisited.
   Physics Letters, 100A (1984) 166--169.
   ABSTRACT

Conference Proceedings:

2. Takashi Hara and Gordon Slade.
   Mean-field behaviour and the lace expansion.
   In Probability and Phase Transition, Proceedings of the NATO ASI on Random Spatial Processes, Cambridge, 1993. G.R. Grimmett ed. , Kluwer (1994). PDF file [292 KB]
1. Takashi Hara and Gordon Slade.
   The mean-field critical behaviour of percolation in high dimensions.
   In Mathematical Physics, Proceedings of the IXth International Congres on Mathematical Physics, Swansea, 1988. B. Simon, A. Truman, I. M. Davies eds. , Adam-Hilger (1989).